51226652664 has 256 divisors, whose sum is σ = 164213222400. Its totient is φ = 14643763200.

The previous prime is 51226652611. The next prime is 51226652669. The reversal of 51226652664 is 46625662215.

51226652664 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 66 + 526 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51226652669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3982884 + ... + 3995724.

It is an arithmetic number, because the mean of its divisors is an integer number (641457900).

Almost surely, 2^51226652664 is an apocalyptic number.

51226652664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51226652664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82106611200).

51226652664 is an abundant number, since it is smaller than the sum of its proper divisors (112986569736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51226652664 is a wasteful number, since it uses less digits than its factorization.

51226652664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12953 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 51226652664 in words is "fifty-one billion, two hundred twenty-six million, six hundred fifty-two thousand, six hundred sixty-four".